Question

find the radius of the base of a cylinder whose curved surface area is 1232cm² and height is 28 CM​

Answer 1

Answer:

csa of cylinder=2πrh

2×22/7×r×28=1232

r=1232/176

r=7

Answer 2

$\blue{\bold{\underline{\underline{Answer:}}}}$

$\green{\therefore{\text{Radius\:of\:base=7\:cm}}}$

$\orange{\bold{\underline{\underline{Step-by-step\:explanation:}}}}$

$\green{ \underline \bold{Given : }} \\ : \implies \text{C.S.A\:of\:cylinder= 1232\: cm}^{2} \\ \\ : \implies \text{Height(h) = 28\: cm} \\ \\ \red{ \underline \bold{To \: Find : }} \\ : \implies \text{Radius\: of \: base= ? }$

• According to given question :

$\bold{As \: we \: know \: that} \\ : \implies \text{C.S.A\: of \: cylinder} =2\pi rh \\ \\ : \implies 1232=2 \times \frac{ 22}{7} \times r \times 28\\ \\ : \implies 8624 =1232\times r \\ \\ \green{ : \implies \text{Radius\: of \: base} =7\: {cm}} \\ \\ \bold{Some \:formula's\: related \: to\:this\:topic} \\ \pink{\circ\: \text{T.S.A\: of \: cylinder} =2\pi r(h + r)} \\ \\ \pink{\circ\:\text{Volume\: of \: cylinder} = \pi r^{2}h}$